English

Prescribed $k$-symmetric curvature hypersurfaces in de Sitter space

Differential Geometry 2019-08-01 v1

Abstract

We prove existence of compact spacelike hypersurfaces with prescribed k - curvature in de Sitter space, where the prescription function depends on both space and the tilt function.

Keywords

Cite

@article{arxiv.1907.13542,
  title  = {Prescribed $k$-symmetric curvature hypersurfaces in de Sitter space},
  author = {Daniel Ballesteros-Chávez and Wilhelm Klingenberg and Ben Lambert},
  journal= {arXiv preprint arXiv:1907.13542},
  year   = {2019}
}